21140455300888 has 192 divisors, whose sum is σ = 53955693561600. Its totient is φ = 7533966263040.

The previous prime is 21140455300871. The next prime is 21140455300889. The reversal of 21140455300888 is 88800355404112.

It is a super-2 number, since 2×21140455300888² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21140455300889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4809831 + ... + 8087977.

It is an arithmetic number, because the mean of its divisors is an integer number (281019237300).

Almost surely, 2^{21140455300888} is an apocalyptic number.

21140455300888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140455300888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26977846780800).

21140455300888 is an abundant number, since it is smaller than the sum of its proper divisors (32815238260712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21140455300888 is a wasteful number, since it uses less digits than its factorization.

21140455300888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278238 (or 3278215 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

The spelling of 21140455300888 in words is "twenty-one trillion, one hundred forty billion, four hundred fifty-five million, three hundred thousand, eight hundred eighty-eight".